According to an article, 36% of adults have experienced a breakup at least once during the last 10 years. Of nine randomly selected adults, find the probability that the number, X, who have experienced a breakup at least once during the last 10 years is a. exactly five; at most five; at least five. b. at least one; at most one. c. between five and seven, inclusive. d. Determine the probability distribution of the random variable X. e. Strictly speaking, why is the probability distribution that you obtained in part (d) only approximately correct? What is the exact distribution called?
According to an article, 36% of adults have experienced a breakup at least once during the last 10 years. Of nine randomly selected adults, find the probability that the number, X, who have experienced a breakup at least once during the last 10 years is a. exactly five; at most five; at least five. b. at least one; at most one. c. between five and seven, inclusive. d. Determine the probability distribution of the random variable X. e. Strictly speaking, why is the probability distribution that you obtained in part (d) only approximately correct? What is the exact distribution called?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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**Probability and Statistics Homework**
**Problem Description:**
According to an article, 56% of adults have experienced a breakup at least once during the last 10 years.
**Tasks:**
a. In a random sample of nine randomly selected adults, find the probability that:
- none experienced a breakup in the last 10 years
- exactly one has experienced a breakup in the last 10 years
- at least one has experienced a breakup in the last 10 years
b. Based on the sample, determine the probability distribution of the random variable X (the number of adults who have experienced a breakup in the last 10 years within the sample).
c. Statistically speaking, why is the probability distribution that you obtained in part (b) only approximately correct? What is the exact distribution called?
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**Note:**
Please refer to your course materials and textbooks for detailed methods of calculating the required probabilities and understanding the distribution concepts.
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